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In the broader market, all sectors were in the green. The biggest gainers were technology, capital goods, consumer cyclicals and financials.

Volumes totaled 3.59 billion shares on the
New York Stock Exchange and 2.14 billion on the Nasdaq. Advancers outpaced decliners by a ratio of 2.7-to-1 on the Big Board and 2.6-to-1 on the Nasdaq.

Major U.S. stock averages slumped Monday, dragged down by political uncertainties in Europe and disappointing factory orders here at home.

"Now one day does not make a trend," said Joe Cusick, senior market analyst at optionsXpress, referencing Monday's declines and January's positive returns. Cusick noted that, historically, if January ends in the green, the year typically ends in positive territory.

"Actually there have only been four years in the S&Ps when January showed a positive start that the end of year performance was not better than the January return," he said.

On Tuesday, the ISM Non-Manufacturing Index showed a decline to an as- forecast 55.2% in January from a downwardly revised 55.7% in December, indicating continued growth at a slightly slower rate in the U.S. services sector. The employment index in the non-manufacturing ISM report increased 2.2 percentage points to 57.5%, indicating growth in employment for the sixth straight month.

"Despite the decline in the month, the January [services sector] reading is still a positive one; however, the strength, particularly in the employment component, seems a bit out of touch with the hard data, as the improvement in the non-manufacturing sector employment has been much less impressive as of late than would be implied by the survey," said Yelena Shulyatyeva, a U.S. economist at BNP Paribas.

Survey respondents expressed a measuredly optimistic view on the business climate, with one in the retail trade saying that there seems to be "some stabilization in recent months. Business seems a little more confident, and consumers are participating once again."

European markets traded higher after upbeat eurozone data and a Markit report showing a return to growth of the U.K. services sector in January.

Gold for April delivery fell $2.90 to settle at $1,673.50 an ounce at the Comex division of the New York Mercantile Exchange, while March crude oil futures added 57 cents to close at $96.74 a barrel.

The benchmark 10-year Treasury fell 13/32 to raise the yield to 2.005%. The dollar was off 0.03%, according to the
U.S. dollar index.

Expedia(EXPE), the online travel agency, is expected by analysts Tuesday to post a profit of 65 cents a share in the fourth quarter on revenue of $929.8 million after the bell. Shares tacked on 3.6%.

Zynga(ZNGA), a
Facebook partner, is expected by analysts to post a quarterly loss of 3 cents a share on revenue of $212 million after the market close Tuesday. Shares popped 7% as Bank of America raised its view on Zynga to "buy" from "underperform."

Virgin Media( VMED) confirmed that it is in discussions with international cable company
Liberty Global on a "possible transaction." Shares of Virgin Media surged 18%.

Archer Daniels Midland( ADM) shares rose 3.3% after the company beat quarterly earnings estimates as it managed to cope with U.S. drought challenges and fully utilized its oilseeds crushing capacity.

J.C. Penney( JCP) shares added 2.4% following a decline of more than 2.5% after the department store operator moved to file a lawsuit in a Delaware court seeking judgment that it is not in default of certain bonds.

Opexa Therapeutics( OPXA) shares more than doubled Tuesday after the company struck an agreement with Merck Serono, a division of Germany's
Merck, for the development and commercialization of a personalized T-cell therapy treatment for multiple sclerosis patients. Potential payments to Opexa from the option and license agreement could total $225 million.